Computational Mathematics

Presentation

The objective of using numerical methods is to find solutions to mathematical problems. Thus, this course intends to provide the students the capability of applying numerical techniques to solve engineering problems, what demands: comprehend the fundaments of the methods; know how to apply the methods using programming, calculators and computational applications.

Programme

Science in Aerospace Engineering

Level of Qualification|Semesters|ECTS

| Semestral | 5

Year | Type of course unit | Language

2 |Mandatory |Português

Code

ULP1393-3561

Recommended complementary curricular units

• Algoritmia e Programação
• Cálculo I
• Cálculo II

Professional Internship

Não

Syllabus

1. Errors
2. Non-linear equations
3. Systems of non-linear equations
4. Function approximation
5. Polynomial interpolation
6. Numerical integration
7. Systems of linear equations
8. Differential equations integration

Objectives

Students should develop solid competences in numerical calculation (manual calculation, calculators, Matlab) and understand how numerical methods are interrelated within the engineering context.

Teaching methodologies and assessment

The teaching methodologies are based on the work developed within the classroom and on the work developed by the students through bibliographic study and prospective analysis of recommended topics out of the classroom. During the theoretic sessions the contents are presented by the teacher, promoting a critical discussion of the subjects and also their application to practical applications and study cases. Practical sessions are devoted to solve application exercises regarding the several topics in order to develop the capacity of analysis and to provide a matter of critical discussions regarding the obtained results.

According to ULP evaluation rules, the student may choose between a continuous or final evaluation:

• Continuous:
  • Practical work - 30%
  • Final exam - 70%

(Minimum grade in each element - 8/20)

• Final
  • Final exam - 100%

References

• A. Matos; Apontamentos de Análise Numérica, 2005
• Burden, Richard L.; Numerical analysis. ISBN: 0-53491-585-X

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